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Popular >

simplify 3^{5/2}

Solution

simplify

3^{\frac{5}{2}}

Solution

9 \cdot 3^{\frac{1}{2}}

+1

Decimal Notation

15.58845 \dots

Solution steps

3^{\frac{5}{2}}

3^{\frac{5}{2}} = 3^{2 + \frac{1}{2}}

= 3^{2 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 3^{2} \cdot 3^{\frac{1}{2}}

3^{2} = 9

= 9 \cdot 3^{\frac{1}{2}}

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36 + 12 m^{2} + m^{4}

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Frequently Asked Questions (FAQ)

What is 3^{5/2} ?
The solution to 3^{5/2} is 9*3^{1/2}